Optimal control on directional scattering by spherical particles in the visible frequency domain is an ultimate goal for researchers to optimize the efficiency of optical devices [1]}, [2]}, [3]}, [4]}, [5]}, [6]}, [7]}.
For referential examples, the desire to achieve zero backscattering plays a crucial role in optical manipulation of spherical particles [8]}, [9]}, [10]} and light management structures used in photovoltaic devices [11]}, [12]}. The Mie scattering theory provides an exact solution to the problem of light scattering by spheres [13]} and
the seminal work on directional scattering was presented by Kerker et al. in 1983 [14]}. They revealed proper combinations of relative permittivity and relative permeability of an unconventional magneto-dielectric sphere to achieve ZBS and ZFS that are commonly known as the first and second Kerker's conditions, respectively.
Fulfillment of the first Kerker's condition requires a material with identical relative permittivity \(\epsilon \)  and relative permeability \(\mu \)  (i.e. \( \epsilon =\mu )\) , while the second Kerker's condition needs material with \(\epsilon = \frac{4-\mu }{\mu +2}\) .
Observation of these conditions for the visible light is considered to be impossible due to the unavailability of such materials that possess large relative magnetic permeability in the frequency range, thus, Kerker's method can not be applied in optical frequencies.
